details

property	value
status	complete
benchmark	size-12-alpha-3-num-111.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n144.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	42.9038 seconds
cpu usage	168.171
user time	165.14
system time	3.03037
max virtual memory	1.1827928E7
max residence set size	131796.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: a(x1) -> x1 a(a(b(x1))) -> b(b(b(a(a(x1))))) b(x1) -> c(a(x1)) Proof: String Reversal Processor: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(b(x1))))) b(x1) -> a(c(x1)) DP Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(b(b(x1))) b#(a(a(x1))) -> a#(b(b(b(x1)))) b#(a(a(x1))) -> a#(a(b(b(b(x1))))) b#(x1) -> a#(c(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(b(x1))))) b(x1) -> a(c(x1)) TDG Processor: DPs: b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(b(b(x1))) b#(a(a(x1))) -> a#(b(b(b(x1)))) b#(a(a(x1))) -> a#(a(b(b(b(x1))))) b#(x1) -> a#(c(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(b(x1))))) b(x1) -> a(c(x1)) graph: b#(a(a(x1))) -> b#(b(b(x1))) -> b#(x1) -> a#(c(x1)) b#(a(a(x1))) -> b#(b(b(x1))) -> b#(a(a(x1))) -> a#(a(b(b(b(x1))))) b#(a(a(x1))) -> b#(b(b(x1))) -> b#(a(a(x1))) -> a#(b(b(b(x1)))) b#(a(a(x1))) -> b#(b(b(x1))) -> b#(a(a(x1))) -> b#(b(b(x1))) b#(a(a(x1))) -> b#(b(b(x1))) -> b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(b(b(x1))) -> b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(b(x1)) -> b#(x1) -> a#(c(x1)) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(a(b(b(b(x1))))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(b(b(b(x1)))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(b(b(x1))) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(x1) -> b#(x1) -> a#(c(x1)) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(b(b(b(x1))))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(b(b(b(x1)))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(b(b(x1))) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(b(x1)) b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1) SCC Processor: #sccs: 1 #rules: 3 #arcs: 18/36 DPs: b#(a(a(x1))) -> b#(b(b(x1))) b#(a(a(x1))) -> b#(x1) b#(a(a(x1))) -> b#(b(x1)) TRS: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(b(x1))))) b(x1) -> a(c(x1)) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> x1 b(a(a(x1))) -> a(a(b(b(b(x1))))) b(x1) -> a(c(x1)) interpretation: [b#](x0) = [0 -&]x0 + [0], [0 -&] [-&] [b](x0) = [2 0 ]x0 + [0 ], [0 2] [-&] [a](x0) = [2 0]x0 + [0 ], [0 -&] [c](x0) = [-& -&]x0 orientation: b#(a(a(x1))) = [4 2]x1 + [2] >= [0 -&]x1 + [0] = b#(b(b(x1))) b#(a(a(x1))) = [4 2]x1 + [2] >= [0 -&]x1 + [0] = b#(x1) b#(a(a(x1))) = [4 2]x1 + [2] >= [0 -&]x1 + [0] = b#(b(x1)) [0 2] [-&] a(x1) = [2 0]x1 + [0 ] >= x1 = x1 [4 2] [2] [4 2] [2] b(a(a(x1))) = [6 4]x1 + [4] >= [6 4]x1 + [4] = a(a(b(b(b(x1))))) [0 -&] [-&] [0 -&] [-&] b(x1) = [2 0 ]x1 + [0 ] >= [2 -&]x1 + [0 ] = a(c(x1)) problem: popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to SRS Standard